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math.DG2004
Versal deformation of the analytic saddle-node
Frank Loray
We derive simple forms for saddle-node singular points of analytic foliations in the real or complex plane just by gluing foliated complex manifolds. We give the versal analytic de…
math.DG2004
A preparation theorem for codimension one foliations
Frank Loray
After gluing foliated complex manifolds, we derive a preparation-like theorem for singularities of codimension one foliations and planar vector fields (in the real or complex setti…